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Finding the Fourth Proportional to 286,651.71, 429,978.48 and 86,973.75

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Solution

The fourth proportional to 286,651.71, 429,978.48 and 86,973.75 is: 130,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,651.71 : 429,978.48 = 86,973.75 : x
  2. Step 2: Convert to fraction form
    286,651.71/429,978.48 = 86,973.75/x
  3. Step 3: Cross multiply
    286,651.71x = 429,978.48 × 86,973.75
  4. Step 4: Simplify right side
    286,651.71x = 37,396,840,498.75
  5. Step 5: Solve for x
    x = 37,396,840,498.75/286,651.71
  6. Step 6: Final answer
    x = 130,460.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.